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07 Aug 2026, 03:55
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A delivery van has a mileage of 14 miles per gallon. After a fuel-saving system is installed, the van will use only 70% as much fuel as it used before to travel the same distance. If the van’s fuel tank holds 5,120 ounces of fuel, how many more miles can the van travel on a full tank after the system is installed? (1 gallon = 128 ounces)
A. 168
B. 224
C. 240
D. 560
E. 800
A. 168
B. 224
C. 240
D. 560
E. 800
07 Aug 2026, 03:55
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Official Solution:
A delivery van has a mileage of 14 miles per gallon. After a fuel-saving system is installed, the van will use only 70% as much fuel as it used before to travel the same distance. If the van’s fuel tank holds 5,120 ounces of fuel, how many more miles can the van travel on a full tank after the system is installed? (1 gallon = 128 ounces)
A. 168
B. 224
C. 240
D. 560
E. 800
The tank holds:
\(\frac{5,120}{128} = 40\) gallons
Before the system is installed, the van can travel:
\(14 * 40 = 560\) miles
After the system is installed, the van uses only 70% as much fuel as before to travel the same distance. So with the same amount of fuel, it can travel:
\(\frac{1}{0.70} = \frac{10}{7}\)
times as far as before.
After the system is installed, the van can travel:
\(560 * \frac{10}{7} = 800\) miles
So the increase is:
\(800 - 560 = 240\) miles
The tank holds:
\(\frac{5,120}{128} = 40\) gallons
Before the system is installed, the van can travel:
\(14 * 40 = 560\) miles
After the system is installed, the van uses only 70% as much fuel as before to travel the same distance. So with the same amount of fuel, it can travel:
\(\frac{1}{0.70} = \frac{10}{7}\)
times as far as before.
After the system is installed, the van can travel:
\(560 * \frac{10}{7} = 800\) miles
So the increase is:
\(800 - 560 = 240\) miles
Answer: C
A delivery van has a mileage of 14 miles per gallon. After a fuel-saving system is installed, the van will use only 70% as much fuel as it used before to travel the same distance. If the van’s fuel tank holds 5,120 ounces of fuel, how many more miles can the van travel on a full tank after the system is installed? (1 gallon = 128 ounces)
A. 168
B. 224
C. 240
D. 560
E. 800
The tank holds:
\(\frac{5,120}{128} = 40\) gallons
Before the system is installed, the van can travel:
\(14 * 40 = 560\) miles
After the system is installed, the van uses only 70% as much fuel as before to travel the same distance. So with the same amount of fuel, it can travel:
\(\frac{1}{0.70} = \frac{10}{7}\)
times as far as before.
After the system is installed, the van can travel:
\(560 * \frac{10}{7} = 800\) miles
So the increase is:
\(800 - 560 = 240\) miles
The tank holds:
\(\frac{5,120}{128} = 40\) gallons
Before the system is installed, the van can travel:
\(14 * 40 = 560\) miles
After the system is installed, the van uses only 70% as much fuel as before to travel the same distance. So with the same amount of fuel, it can travel:
\(\frac{1}{0.70} = \frac{10}{7}\)
times as far as before.
After the system is installed, the van can travel:
\(560 * \frac{10}{7} = 800\) miles
So the increase is:
\(800 - 560 = 240\) miles
Answer: C
